Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1205.93124
Wu, Xiangjun; Lu, Hongtao
Exponential synchronization of weighted general delay coupled and non-delay coupled dynamical networks. (English)
[J] Comput. Math. Appl. 60, No. 8, 2476-2487 (2010). ISSN 0898-1221

Summary: Time delays commonly exist in the real world. In the present work, we investigate the exponential synchronization of weighted general delay coupled and non-delay coupled complex dynamical networks with different topological structures. Based on the Lyapunov stability theory, the suitable controllers are designed to make the controlled dynamical network exponentially synchronize an isolated node with any pre-specified exponential convergence rate, and proved theoretically. The synchronization scheme is applicable to the undirected networks as well as the directed ones. The derived controllers are simple and can be readily used in practical applications. Furthermore, the coupling matrix is not necessary to be irreducible and the network node dynamics need not satisfy the very strong and conservative uniform Lipschitz condition. Numerical simulations further validate the effectiveness and feasibility of our synchronization method.

MSC 2000:: *93D15 Stabilization of systems by feedback
37N35 Dynamical systems in control
93C23 Systems governed by functional-differential equations

Keywords: exponential synchronization; delay coupled and non-delay coupled network; weighted complex dynamical network; Chen system

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]